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Finding the Third Proportional to 70,029 and 107,649

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Solution

The third proportional to 70,029 and 107,649 is: 165,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,029 : 107,649 = 107,649 : x
  2. Step 2: Convert to fraction form
    70,029/107,649 = 107,649/x
  3. Step 3: Cross multiply
    70,029x = 107,649 × 107,649
  4. Step 4: Simplify right side
    70,029x = 11,588,307,201
  5. Step 5: Solve for x
    x = 11,588,307,201/70,029
  6. Step 6: Final answer
    x = 165,478.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.